2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76069We study a stochastic boundary value problem on $(0,1)^d$ of elliptic type in dimension $d\ge 4$, driven by a coloured noise. An approximation scheme based on a suitable discretization of the Laplacian on a lattice of $(0,1)^d$ is presented; we also give the rate of convergence to the original SPDE in $L^p(Ω;L^{2}(D))$--norm, for some values of $p$.27 pagesProbabilityAnalysis of PDEs60H15, 60H35, 35J05A lattice scheme for stochastic partial differential equations of elliptic type in dimension $d\ge 4$text